Search a number
-
+
25223205540 = 22351357156633
BaseRepresentation
bin10111011111011010…
…111001001010100100
32102002211220121020210
4113133122321022210
5403124120034130
615330512455420
71552024465251
oct273732711244
972084817223
1025223205540
11a773929715
124a7b24a570
1324bc856cc0
141313c8a428
159c95b25b0
hex5df6b92a4

25223205540 has 96 divisors (see below), whose sum is σ = 76192212096. Its totient is φ = 6197806080.

The previous prime is 25223205523. The next prime is 25223205571. The reversal of 25223205540 is 4550232252.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 25223205498 and 25223205507.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 417064 + ... + 473696.

It is an arithmetic number, because the mean of its divisors is an integer number (793668876).

Almost surely, 225223205540 is an apocalyptic number.

25223205540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25223205540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38096106048).

25223205540 is an abundant number, since it is smaller than the sum of its proper divisors (50969006556).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

25223205540 is a wasteful number, since it uses less digits than its factorization.

25223205540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57229 (or 57227 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

Adding to 25223205540 its reverse (4550232252), we get a palindrome (29773437792).

The spelling of 25223205540 in words is "twenty-five billion, two hundred twenty-three million, two hundred five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 571 780 1142 1713 2284 2855 3426 5710 6852 7423 8565 11420 14846 17130 22269 29692 34260 37115 44538 56633 74230 89076 111345 113266 148460 169899 222690 226532 283165 339798 445380 566330 679596 736229 849495 1132660 1472458 1698990 2208687 2944916 3397980 3681145 4417374 7362290 8834748 11043435 14724580 22086870 32337443 44173740 64674886 97012329 129349772 161687215 194024658 323374430 388049316 420386759 485061645 646748860 840773518 970123290 1261160277 1681547036 1940246580 2101933795 2522320554 4203867590 5044641108 6305801385 8407735180 12611602770 25223205540